import LSpec import Pantograph.Goal import Pantograph.Serial import Test.Common import Lean namespace Pantograph.Test.Metavar open Pantograph open Lean abbrev TestM := StateRefT LSpec.TestSeq (ReaderT Protocol.Options M) def addTest (test: LSpec.TestSeq): TestM Unit := do set $ (← get) ++ test -- Tests that all delay assigned mvars are instantiated def test_instantiate_mvar: TestM Unit := do let env ← Lean.MonadEnv.getEnv let value := "@Nat.le_trans 2 2 5 (@of_eq_true (@LE.le Nat instLENat 2 2) (@eq_true (@LE.le Nat instLENat 2 2) (@Nat.le_refl 2))) (@of_eq_true (@LE.le Nat instLENat 2 5) (@eq_true_of_decide (@LE.le Nat instLENat 2 5) (@Nat.decLe 2 5) (@Eq.refl Bool Bool.true)))" let syn ← match syntax_from_str env value with | .ok s => pure $ s | .error e => do addTest $ assertUnreachable e return () let expr ← match ← syntax_to_expr syn with | .ok expr => pure $ expr | .error e => do addTest $ assertUnreachable e return () let t ← Lean.Meta.inferType expr addTest $ LSpec.check "typing" ((toString (← serialize_expression_ast t)) = "((:c LE.le) (:c Nat) (:c instLENat) ((:c OfNat.ofNat) (:mv _uniq.2) (:lit 2) (:mv _uniq.3)) ((:c OfNat.ofNat) (:mv _uniq.14) (:lit 5) (:mv _uniq.15)))") return () def startProof (expr: String): TestM (Option GoalState) := do let env ← Lean.MonadEnv.getEnv let syn? := syntax_from_str env expr addTest $ LSpec.check s!"Parsing {expr}" (syn?.isOk) match syn? with | .error error => IO.println error return Option.none | .ok syn => let expr? ← syntax_to_expr_type syn addTest $ LSpec.check s!"Elaborating" expr?.isOk match expr? with | .error error => IO.println error return Option.none | .ok expr => let goal ← GoalState.create (expr := expr) return Option.some goal def buildGoal (nameType: List (String × String)) (target: String) (userName?: Option String := .none): Protocol.Goal := { userName?, target := { pp? := .some target}, vars := (nameType.map fun x => ({ userName := x.fst, type? := .some { pp? := .some x.snd }, isInaccessible? := .some false })).toArray } def proofRunner (env: Lean.Environment) (tests: TestM Unit): IO LSpec.TestSeq := do let termElabM := tests.run LSpec.TestSeq.done |>.run {} -- with default options let coreContext: Lean.Core.Context ← createCoreContext #[] let metaM := termElabM.run' (ctx := defaultTermElabMContext) let coreM := metaM.run' match ← (coreM.run' coreContext { env := env }).toBaseIO with | .error exception => return LSpec.test "Exception" (s!"internal exception #{← exception.toMessageData.toString}" = "") | .ok (_, a) => return a /-- M-coupled goals -/ def test_m_couple: TestM Unit := do let state? ← startProof "(2: Nat) ≤ 5" let state0 ← match state? with | .some state => pure state | .none => do addTest $ assertUnreachable "Goal could not parse" return () let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check "apply Nat.le_trans" ((← state1.serializeGoals (options := ← read)).map (·.target.pp?) = #[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"]) addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone -- Set m to 3 let state2 ← match ← state1.execute (goalId := 2) (tactic := "exact 3") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.test "(1b root)" state2.rootExpr?.isNone let state1b ← match state2.continue state1 with | .error msg => do addTest $ assertUnreachable $ msg return () | .ok state => pure state addTest $ LSpec.check "exact 3" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) = #[.some "2 ≤ 3", .some "3 ≤ 5"]) addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone def test_m_couple_simp: TestM Unit := do let state? ← startProof "(2: Nat) ≤ 5" let state0 ← match state? with | .some state => pure state | .none => do addTest $ assertUnreachable "Goal could not parse" return () let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check "apply Nat.le_trans" ((← state1.serializeGoals (options := ← read)).map (·.target.pp?) = #[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"]) let state2 ← match ← state1.execute (goalId := 2) (tactic := "exact 2") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.test "(1b root)" state2.rootExpr?.isNone let state1b ← match state2.continue state1 with | .error msg => do addTest $ assertUnreachable $ msg return () | .ok state => pure state addTest $ LSpec.check "exact 2" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) = #[.some "2 ≤ 2", .some "2 ≤ 5"]) addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone let state3 ← match ← state1b.execute (goalId := 0) (tactic := "simp") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () let state4 ← match state3.continue state1b with | .error msg => do addTest $ assertUnreachable $ msg return () | .ok state => pure state let state5 ← match ← state4.execute (goalId := 0) (tactic := "simp") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () state5.restoreMetaM let root ← match state5.rootExpr? with | .some e => pure e | .none => addTest $ assertUnreachable "(5 root)" return () let rootStr: String := toString (← Lean.Meta.ppExpr root) addTest $ LSpec.check "(5 root)" (rootStr = "Nat.le_trans (of_eq_true (Init.Data.Nat.Basic._auxLemma.4 2)) (of_eq_true (eq_true_of_decide (Eq.refl true)))") let unfoldedRoot ← unfoldAuxLemmas root addTest $ LSpec.check "(5 root)" ((toString (← Lean.Meta.ppExpr unfoldedRoot)) = "Nat.le_trans (of_eq_true (eq_true (Nat.le_refl 2))) (of_eq_true (eq_true_of_decide (Eq.refl true)))") return () def test_proposition_generation: TestM Unit := do let state? ← startProof "Σ' p:Prop, p" let state0 ← match state? with | .some state => pure state | .none => do addTest $ assertUnreachable "Goal could not parse" return () let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply PSigma.mk") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check "apply PSigma.mk" ((← state1.serializeGoals (options := ← read)).map (·.devolatilize) = #[ buildGoal [] "?fst" (userName? := .some "snd"), buildGoal [] "Prop" (userName? := .some "fst") ]) if let #[goal1, goal2] := ← state1.serializeGoals (options := { (← read) with printExprAST := true }) then addTest $ LSpec.test "(1 reference)" (goal1.target.sexp? = .some s!"(:mv {goal2.name})") addTest $ LSpec.test "(1 root)" state1.rootExpr?.isNone let state2 ← match ← state1.tryAssign (goalId := 0) (expr := "λ (x: Nat) => _") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check ":= λ (x: Nat), _" ((← state2.serializeGoals (options := ← read)).map (·.target.pp?) = #[.some "Nat → Prop", .some "∀ (x : Nat), ?m.29 x"]) addTest $ LSpec.test "(2 root)" state2.rootExpr?.isNone let state3 ← match ← state2.tryAssign (goalId := 1) (expr := "fun x => Eq.refl x") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check ":= Eq.refl" ((← state3.serializeGoals (options := ← read)).map (·.target.pp?) = #[]) addTest $ LSpec.test "(3 root)" state3.rootExpr?.isSome return () def test_partial_continuation: TestM Unit := do let state? ← startProof "(2: Nat) ≤ 5" let state0 ← match state? with | .some state => pure state | .none => do addTest $ assertUnreachable "Goal could not parse" return () let state1 ← match ← state0.execute (goalId := 0) (tactic := "apply Nat.le_trans") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check "apply Nat.le_trans" ((← state1.serializeGoals (options := ← read)).map (·.target.pp?) = #[.some "2 ≤ ?m", .some "?m ≤ 5", .some "Nat"]) let state2 ← match ← state1.execute (goalId := 2) (tactic := "apply Nat.succ") with | .success state => pure state | other => do addTest $ assertUnreachable $ other.toString return () addTest $ LSpec.check "apply Nat.succ" ((← state2.serializeGoals (options := ← read)).map (·.target.pp?) = #[.some "Nat"]) -- Execute a partial continuation let coupled_goals := state1.goals ++ state2.goals let state1b ← match state2.resume (goals := coupled_goals) with | .error msg => do addTest $ assertUnreachable $ msg return () | .ok state => pure state addTest $ LSpec.check "(continue)" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) = #[.some "2 ≤ ?m.succ", .some "?m.succ ≤ 5", .some "Nat"]) addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone -- Roundtrip --let coupled_goals := coupled_goals.map (λ g => -- { name := str_to_name $ name_to_ast g.name (sanitize := false)}) let coupled_goals := coupled_goals.map (λ g => name_to_ast g.name (sanitize := false)) let coupled_goals := coupled_goals.map (λ g => { name := g.toName }) let state1b ← match state2.resume (goals := coupled_goals) with | .error msg => do addTest $ assertUnreachable $ msg return () | .ok state => pure state addTest $ LSpec.check "(continue)" ((← state1b.serializeGoals (options := ← read)).map (·.target.pp?) = #[.some "2 ≤ ?m.succ", .some "?m.succ ≤ 5", .some "Nat"]) addTest $ LSpec.test "(2 root)" state1b.rootExpr?.isNone -- Continuation should fail if the state does not exist: match state0.resume coupled_goals with | .error error => addTest $ LSpec.check "(continuation failure message)" (error = "Goals not in scope") | .ok _ => addTest $ assertUnreachable "(continuation failure)" -- Continuation should fail if some goals have not been solved match state2.continue state1 with | .error error => addTest $ LSpec.check "(continuation failure message)" (error = "Target state has unresolved goals") | .ok _ => addTest $ assertUnreachable "(continuation failure)" return () def suite: IO LSpec.TestSeq := do let env: Lean.Environment ← Lean.importModules (imports := #["Init"].map (λ str => { module := str.toName, runtimeOnly := false })) (opts := {}) (trustLevel := 1) let tests := [ ("Instantiate", test_instantiate_mvar), ("2 < 5", test_m_couple), ("2 < 5", test_m_couple_simp), ("Proposition Generation", test_proposition_generation), ("Partial Continuation", test_partial_continuation) ] let tests ← tests.foldlM (fun acc tests => do let (name, tests) := tests let tests ← proofRunner env tests return acc ++ (LSpec.group name tests)) LSpec.TestSeq.done return LSpec.group "Metavar" tests end Pantograph.Test.Metavar